document.write( "Question 1168918: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 20% salt and Solution B is 45% salt. She wants to obtain 140 ounces of a mixture that is 30% salt. How many ounces of each solution should she use? \n" ); document.write( "
Algebra.Com's Answer #793563 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x oz of A for 0.20x pure salt \n" ); document.write( "140-x oz of B for 63-0.45x pure salt \n" ); document.write( "the total amount of pure salt desired is 140*0.3=42 oz.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sos 0.2x+63-0.45x=42 \n" ); document.write( "-0.25x=-21 \n" ); document.write( "x=84 oz of 20% one answer \n" ); document.write( "140-x=60 oz of 45% the other answer\r \n" ); document.write( "\n" ); document.write( "check \n" ); document.write( "30% is 2/5 of the way from 20 to 45, so more of the 20% will be used. \n" ); document.write( "84 oz is 3/5 of the total amount, weighting the final proportions towards the lesser concentration. \n" ); document.write( " |